Yes, it was interesting to see it labelled out like that. I liked to think of the transform as a cross-correlation. You take a wave of a particular frequency (f

Yes, it was interesting to see it labelled out like that. I liked to think of the transform as a cross-correlation. You take a wave of a particular frequency (f) and cross-correlate it with your signal s(t) across all time. The fourier coefficients are the results of the cross-correlation, telling you how much of each frequency you have in your signal.